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c9 x1 in .NET Display QR Code ISO/IEC18004 in .NET c9 x1

c9 x1 use visual studio .net qrcode integrating toaccess qr for .net upc x10 c5 x2 x5 x13 x17 x3 x19 Figure . : Co qrcode for .NET mputation graph of height 2 (two iterations) for bit x1 and the code C(H) for H given in ( .

). e computation graph of height 2 (two iterations) for edge e is the subtree consisting of edge e, variable node x1 , and the two subtrees rooted in check nodes c5 and c9 ..

is not: sever al of the variable and check nodes appear repeatedly. For example, x3 appears as a child of both c8 and c9 . erefore, more properly, this computation graph should be drawn as a rooted graph in which each distinct node appears only once.

e preceding graph is a computation graph from a node perspective since we start from a variable node. We can also start from an edge and unravel the dependencies of the message sent along this edge. We call the result the computation graph from an edge perspective.

In Figure . the resulting computation graph of height 2 for edge e is shown as well. It is the subtree consisting of variable node x1 and the two subtrees rooted in check nodes c5 and c9 .

. (C G E N E P ). Consider the ensemble LDPC (n, , ).

e associated ensemble of compu tation graphs of height from a node perspective, denoted by C (n, , ), is de ned as follows. To sample from this ensemble, pick a graph G from LDPC (n, , ) uniformly at random and draw the computation graph of height of a randomly chosen variable node of G. Each such computation graph, call it T, is an unlabeled rooted graph in which each distinct node is drawn exactly once.

e ensemble C (n, , ) consists of the set of such computation graphs together with the probabilities P T D. C (n, , QR Code ISO/IEC18004 for .NET ) , which are induced by the preceding sampling procedure. In the same way, to sample from the ensemble of computation graphs from an edge perspective, denote it by C (n, , ), pick randomly an edge e, and draw the computation graph of e of height in G.

Since C (n, , ) and C (n, , ) share many properties it is convenient to be able to refer to both of them together. In this case we write C (n, , ). E .

(C1 (n, (x) = x, (x) = x2 )). In this simple example every variable node has two outgoing edges and every check node has three attached edges. Figure .

shows the six elements of this ensemble together with their associated probabilities P T C1 (n, x, x2 ) . All these probabilities behave like O(1 n), except for the tree in the top row, which asymptotically has probability 1. Also shown is the conditional probability of error, PBP (T, ).

is is the probability of error which we b incur if we decode the root node of the graph T assuming that transmission takes place over the BEC( ) and assuming that we perform BP decoding for one iteration.. P T C1 (n, x, x 2 ). (2n 6)(2n 8) VS .NET qr barcode (2n 1)(2n 5) 2(2n 6) (2n 1)(2n 5) 1 (2n 1)(2n 5) 4(2n 6) (2n 1)(2n 5) 2 (2n 1)(2n 5) 2 2n 1. PBP (T, ) b (1 (1 )2 )2 2 (1 (1 )2 ) 3 2 + 3 (1 ) (1 (1 )2 ) 2. Figure . : .net framework QR Code JIS X 0510 Elements of C1 (n, (x) = x, (x) = x2 ) together with their probabilities 1 (n, x, x2 ) and the conditional probability of error, PBP (T, ).

ick lines P T C b indicate double edges.. e operati onal meaning of the ensembles C (n, , ) and C (n, , ) is clear: C (n, , ) represents the ensemble of computation graphs that the BP decoder encounters when making a decision on a randomly chosen bit from a random sample. of LDPC (n, Visual Studio .NET Denso QR Bar Code , ), assuming the decoder performs iterations and C (n, , ) represents the ensemble of computation graphs which the BP decoder encounters when determining the variable-to-check message sent out along a randomly chosen edge in the -th iteration. For T C (n, , ), let PBP (T, ) denote the conditional probability of error inb curred by the BP decoder, assuming that the computation graph is T.

With this notation we have ( . ) ELDPC(n, , ) [PBP (G, , )] = b.
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